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Synopsis : This paper describes vibration analysis of structures, taking the vibrating mass of their bed soil into consideration, and discusses applications these solutions to the several actual structures rested on an elastic foundation. From the practical engineering point of view, the author analyzed the vibration phenomena of structures by assuming some equivalent soil prisms under the structure-bases. Those fundamental solutions obtained were applied to pile foundation, machine foundation, and a few story buildings, and carried out the numerical computations for the compressor foundations and the school buildings. From these investigations, the author has made clear the quantitative tendency that the natural frequencies of structures are decreased by the vibrating mass of their bed soil. Furthermore, by comparing the computed values for the compressor foundation with the measured ones, the adequacy of this paper has been confirmed in the practical engineering point of view.It is expected that this paper will be profitably used for solving the vibration problems of not a few structures in the field of civil engineering.

VIBRATION ANALYSIS OF STRUCTURES RESTED ON AN ELASTIC FOUNDATION, TAKING VIBRATING MASS OF SOIL INTO CONSIDERATION